How do you find the domain of $f(x)=(x-2)/(x+4)$ ?

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Answer 1 · 2015-07-12T19:01:25

The only restriction on the domain comes from the $(x+4)$ denominator, which cannot be zero.

So the domain is $RR$ \ ${-4}$ .

In interval notation: $(-oo, -4) uu (-4, oo)$

$(x - 2)$ is well defined for all $x in RR$

$(x + 4)$ is well defined for all $x in RR$

So $f(x) = (x-2)/(x+4)$ is well defined,

except when the denominator $(x+4) = 0$ ,
which happens when $x = -4$ .

How do you find the domain of f(x)=(x-2)/(x+4) f(x)=(x-2)/(x+4) ?